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Iranian Journal of Fuzzy Systems، جلد ۱۸، شماره ۴، صفحات ۱۴۹-۱۶۷
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عنوان انگلیسی On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs
چکیده انگلیسی مقاله In real-world decision-making problems, experts often prefer to express their views, regarding problem parameters, in a natural language rather than precise numerical form. Linguistic representation models have been widely used to solve many decision-making problems with qualitative information. Game theory has been found successful applications in a wide range of areas. This paper presents an extensive study of matrix games with qualitative payoffs. The work uses 2-tuple intuitionistic fuzzy linguistic values (2-TIFLVs) to represent the payoffs of the matrix game. We develop the mathematical formulation and concepts of the solutions for matrix games with payoffs represented by 2-TIFLVs. Paper also shows that matrix games with payoffs of 2-TIFLVs have solutions that can be obtained by transforming the matrix game in a pair of linear/nonlinear programming problems. Finally, a real-life numerical is given to illustrate the developed method.
کلیدواژه‌های انگلیسی مقاله Matrix game, linguistic variables, 2-tuple linguistic model, 2-tuple intuitionistic fuzzy linguistic set, non-linear optimization
نویسندگان مقاله R. Verma |
Department of Management Control and Information Systems, University of Chile, Av. Diagonal Paraguay 257, 8330015 Santiago, Chile

A. Aggarwal |
University School of Basic and Applied Sciences\ Guru Gobind Singh Indraprastha University Delhi-110078, India

نشانی اینترنتی https://ijfs.usb.ac.ir/article_6182_801e5ffd2aaeae70c1b69d5e04a85514.pdf
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